QuestionIf $f(x)=\int_{0}^{x}\left(1-t^{2}\right) e^{t^{3}} d t$ for all $x$, then find the largest open interval on which $f$ is increasing.
Answer (in interval notation): $\square$

Studdy Solution
Identify the largest open interval where $f'(x) > 0$. From the inequality $-1 < x < 1$, the largest open interval is:
$$(-1, 1)$$
The largest open interval on which $f$ is increasing is $\boxed{(-1, 1)}$.